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On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications

 

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Opened Access On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
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Author: Álvarez Nodarse, Renato
Soares Petronilho, José Carlos
Quintero, Niurka R.
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2005-12-15
Published in: Journal of Computational and Applied Mathematics, 184 (2), 518-537.
Document type: Article
Abstract: In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an application we consider two solvable models related with the so-called Chain Model. Some numerical experiments are also included.
Cite: Álvarez Nodarse, R., Soares Petronilho, J.C. y Rodríguez Quintero, N. (2005). On some tridiagonal k−Toeplitz matrices: algebraic and analytical aspects. Applications. Journal of Computational and Applied Mathematics, 184 (2), 518-537.
Size: 678.3Kb
Format: PDF

URI: http://hdl.handle.net/11441/43060

DOI: 10.1016/j.cam.2005.01.025

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